Key points are not available for this paper at this time.
D. J. Aigner, T. Amemiya, D. J. Poirier, On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function, International Economic Review, Vol. 17, No. 2 (Jun., 1976), pp. 377-396
Aigner et al. (1976) studied this question.